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[统计] 紧急求助:两道数学题希望高手指点迷津 [复制链接]

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发表于 2010-3-10 10:35:50 |只看该作者 |倒序浏览
本帖最后由 jrrj 于 2010-3-10 15:57 编辑

哪位能给指出是哪种分布,拜托能否给出具体解题方法






就像大家知道的每5个纳税申报就有一个包括错误,然后会被归类为“错误”
a)
计算一下在一个有5个纳税申报的抽样的概率 1、一个错误都没有2、至少一个是错误

b)
计算一下概率最多两个纳税申报是错误的

c)
一个检查员随机选择了包括20个纳税申报的抽样,计算一下这个抽样的概率,17个错误2、至多两个错误

d)
陈述一下你用来回答以上三个问题的假设的潜在的概率分布

e)
假设现在一个国家纳税申报的总人口是100万,你可以假设一个抽样包括其中的25万来计算“至少他们当中的10%是错的,你在问题d中提供的回答仍然适用吗,为什么(或为什么不适用)





还有一道题,希望各位高手指点迷津


下面哪一个模型可以用最小二乘法估计?给出你的理由      
             a)   
Y = a + bX + u
             b)
Y = a + bcX + u
             c)
Y = eaXbeu
             d)
lnY = a + blnX + u
             e)
Y = a + bX2 + u
             f)
Y = a + b2X + u
0 0

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沙发
发表于 2010-3-10 13:24:18 |只看该作者
the problems are in Chinese but they are for foreign master exams?

Hint for problem 1:
it's a discrete distribution starting with letter B

not sure about the second though... I only learned linear least squares before... it clearly works for equation a)

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板凳
发表于 2010-3-10 14:15:19 |只看该作者
感谢您的参与,这个题目是我翻译成中文的,想在这里让大家帮忙做一下~~

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地板
发表于 2010-3-10 14:17:09 |只看该作者
这是英文原题
It is known that one out of every five tax returns will contain errors and will be classed as faulty.
a)        Calculate the probability that in a sample of five tax returns i) none are faulty; ii) at least one is faulty
(4 marks)
b)        Calculate the probability that at most two tax returns are faulty
(2 marks)
c)        An inspector randomly selects a sample of 20 tax returns. Calculate the probabilities that in the sample of 20 i) seven are faulty; ii) at most two are faulty.
(4 marks)
d)        State the assumptions underlying the probability distribution you used to answer parts a)-c) above.
(3 marks)
e)        Suppose now that the total population of tax returns in a country is one million and you could assume a sample of 250,000 of them to calculate the probability that at least 10% of them are faulty. Would the answer you provided in part d) still hold? Why (not)?
(5 marks)






Which of the following models could be estimated using OLS? Give your reasoning.

a)        Y = a + bX + u
(2 marks)
b)        Y = a + bcX + u
(2 marks)
c)        Y = eaXbeu
(2 marks)
d)        lnY = a + blnX + u
(2 marks)
e)        Y = a + bX2 + u
(2 marks)
f)        Y = a + b2X + u
(2 marks)

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5
发表于 2010-3-10 23:42:34 |只看该作者
i already give you the hint of problem 1...
it's a really basic probability/statistics problem...

for the second one...you'll know the answer if you google ordinary least squares and find out the definition...

i cannot give you the answer because i dont know what kind of exam this is... i dont want to help anyone cheat... hope you could understand

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RE: 紧急求助:两道数学题希望高手指点迷津 [修改]

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